GCF of 8862/457, 1457/778
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8862/457, 1457/778 i.e 1/355546 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8862/457, 1457/778.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 8862/457,1457/778?
Given fractions are 8862/457,1457/778
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 8862/457,1457/778, numerators are 8862,1457
Denominators are 457,778
The GCF of 8862,1457 is 1 .
LCM of 457,778 is 355546.
The greatest common factor of 8862/457,1457/778 = [GCF of 8862,1457]/[LCM of 457,778]= 1/355546
Therefore, the GCF of 8862/457,1457/778 is 1/355546.
To find the highest common factor of 8862,1457, we have to find the factors of both numbers and list the highest common factor.
The factors of 8862 are 1, 2, 3, 6, 7, 14, 21, 42, 211, 422, 633, 1266, 1477, 2954, 4431, 8862
The factors of 1457 are 1, 31, 47, 1457
The HCF of 8862,1457 is 1.
Lets's calculate GCF of 8862,1457
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8862,1457 By Matching Biggest Common Factor Method
Now, list down the factors of 8862
:1,2,3,6,7,14,21,42,211,422,633,1266,1477,2954,4431,8862
Now, list down the factors of 1457
:1,31,47,1457
Greatest Common Factor
We found the factors 8862,1457 . The biggest common factor number is the GCF number.
So the greatest common factor 8862,1457 is 1.
Lets's calculate LCM of 457,778
Given numbers has no common factors except 1. So, there LCM is their product i.e 355546
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/355546
Therefore, the GCF of Fractions 8862/457,1457/778 is 1/355546
Least Common Multiple of 457,778 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 457,778 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(457,778) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(457,778) x common factors =1 x 1 = 1
LCM(457,778) = ( 457 × 778 ) / 1
LCM(457,778) = 355546 / 1
LCM(457,778) = 355546
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FAQs on GCF of Fractions of 8862/457, 1457/778
1. What is the HCF of 8862,1457?
The HCF of 8862,1457 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 8862/457, 1457/778?
Answer: GCF of Numerators as per given numbers 8862/457, 1457/778 is
GCF of Numerators i.e. for 8862,1457 is 1
LCM of denominators i.e. for 457,778 is 355546.
Thus, GCF of Fractions is 1/355546.Finally, GCF of Fractions for 8862/457, 1457/778 is 1/355546.